Answer:
<u>______________________________________________________</u>
<u>TRIGONOMETRY IDENTITIES TO BE USED IN THE QUESTION :-</u>
For any right angled triangle with one angle α ,
or 
or 
<u>SOME GENERAL TRIGNOMETRIC FORMULAS :-</u>
- <u></u>
or 
- <u></u>
or 
<u>______________________________________________________</u>
Now , lets come to the question.
In a right angled triangle , let one angle be α (in place of theta) .
So , lets solve L.H.S.



= R.H.S.
∴ L.H.S. = R.H.S. (Proved)
<h2><u>Solution</u> :-</h2>
Given : Radius of cylinder = 8 m
Height = 4 m
Volume of cylinder = πr²h cu. units
= 22/7 × 8 × 8 × 4 m³
= 804.57 m³ (approx.)
Curved surface area = 2πrh sq. units
= 2 × 22/7 × 8 × 4 m²
= 201.14 m² (approx.)
Total surface area = 2πr(r + h) sq. units
= 2 × 22/7 × 8 (8 + 4) m²
= 2 × 22/7 × 8 × 12 m²
= 603.43 (approx.)
Answer:
The expressions for the payment made to Mary are,
(Monday) 90 = 15m + b
(Tuesday) 62 = 8m + b
where m and b are the fee per student and the base fee, respectively. Solving for m and b, the values are 4 and 30.
The equation that represents Mary's earning is
y = 4x + 30
For 20 students,
y = 4(20) + 30 = 110
For Lisa's earnings,
y = 8x + 15
Substituting 20,
y =8(20) + 15 = 175
Thus, Lisa would earn more than Mary by $65.
(Btw this is not my work, I got it from someone else on brainly and wanted to help lol)
There is NO MODE for the data set because none of the numbers are repeated at least once.